Abstract
Let N be a positive integer and let A and B be dense subsets of {1,...,N }. The purpose of this paper is to establish a good lower bound for the greatest prime factor of ab + 1as a and b run over the elements of A and B respectively.
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Stewart, C.L. On the greatest prime factor of integers of the form ab + 1. Periodica Mathematica Hungarica 43, 81–91 (2002). https://doi.org/10.1023/A:1015281515087
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DOI: https://doi.org/10.1023/A:1015281515087